Exponential Model Word Problems

What equation models this problem?

What equation models this problem?

What equation models this problem?

What equation models this problem?

Write an exponential function to model the situation. Then solve.

The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year. What will the cost be after 4 years?

• C(t) = 12000(1.06)^t ; $3149.72

• C(t) = 12000(.06)^t ; $3149.72

• C(t) = 12000(.06)^t ; $1472.95

• C(t) = 12000(1.06)^t ; $15149.72

Tags

CCSS.HSF.LE.A.2

If the population of a city is increasing exponentially and triples every 10 years, what is the population after 30 years if the initial population was 2000?

• 6000

• 12000

• 18000

• 54000

Tags

DOK Level 1: Recall

If the population of a city is 50,000 and grows at a continuous rate of 3% per year, what will be the population after 5 years?

• 58,091

• 55,000

• 60,000

• 50,000

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

y = ​ (a)   ( 1 ​ (b)   ​ (c)   )^x (^ means to power of x - x is the exponent)

• 400

• +

• 0.03

• 3

• 0.3

• 0.97

• 4

Tags

CCSS.HSF.LE.A.2

Eduardo currently has 500 followers on TikTok. He makes a video after the basketball game and it goes viral! Since he became internet famous, the number of followers is increasing by 25% daily. Write an exponential function that represents the relationship between x, the number of days since Eduardo posted the video and y, the total number of followers Eduardo has.

Mathematical Equivalence

ON

Tags

AI.9.9.C

The equation Q = 12e^{-.09t is given to show the amount of an element remaining after t years. how long will it take for the element to reach 3 mg?}

• 4.5 years

• 12.7 years

• 2.7 years

• 15.4 years

Tags

CCSS.HSF.LE.A.4